Linear Functional Equations. Operator Approach

Language: English

Published by Birkhäuser, Birkhäuser Sep 2011, 2011

3034898517 / 9783034898515

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This item is printed on demand - Print on Demand Titel. Neuware -In this book we shall study linear functional equations of the form m bu(x) == Lak(X)U(Qk(X)) = f(x), (1) k=l where U is an unknown function from a given space F(X) of functions on a set X, Qk: X -+ X are given mappings, ak and f are given functions. Our approach is based on the investigation of the operators given by the left-hand side of equa tion (1). In what follows such operators will be called functional operators. We will pay special attention to the spectral properties of functional operators, first of all, to invertibility and the Noether property. Since the set X, the space F(X), the mappings Qk and the coefficients ak are arbitrary, the class of operators of the form (1) is very rich and some of its individ ual representatives are related with problems arising in various areas of mathemat ics and its applications. In addition to the classical theory of functional equations, among such areas one can indicate the theory of functional-differential equations with deviating argument, the theory of nonlocal problems for partial differential equations, the theory of boundary value problems for the equation of a vibrating string and equations of mixed type, a number of problems of the general theory of operator algebras and the theory of dynamical systems, the spectral theory of au tomorphisms of Banach algebras, and other problems.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 196 pp. Englisch.

Seller Inventory # 9783034898515

Title
Linear Functional Equations. Operator Approach
Author
Anatolij Antonevich
Publisher
Birkhäuser, Birkhäuser Sep 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3034898517
ISBN 13
9783034898515
Item weight
349 grams
Dimensions
244x170x11 mm

buchversandmimpf2000

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